9. A man covers a distance of 12\frac{1}{2} kilometers in 1\frac{1}{4} hours. How much distance will he cover in 1 hour?
10. Ram bought 2\frac{1}{4} kilograms of sugar for ₹112\frac{1}{2}. Find the price of 1 kilogram of sugar.
Answer (1)
Let's tackle each question step-by-step.
Question 9:
A man covers a distance of 12 2 1 kilometers in 1 4 1 hours. To find out how much distance he will cover in 1 hour, we need to determine his speed in kilometers per hour (km/h).
First, convert the mixed fractions to improper fractions:
The distance 12 2 1 kilometers can be written as 2 25 kilometers.
The time 1 4 1 hours can be written as 4 5 hours.
Speed is calculated as distance divided by time:
Speed = Time Distance = 4 5 2 25
To divide the fractions, multiply by the reciprocal:
Speed = 2 25 × 5 4 = 2 × 5 25 × 4 = 10 100 = 10
Thus, the man covers 10 kilometers in 1 hour.
Question 10:
Ram bought 2 4 1 kilograms of sugar for ₹112 2 1 . We need to find the price per kilogram.
Convert the mixed fractions to improper fractions:
The weight of the sugar is 2 4 1 kilograms, which is 4 9 kilograms.
The cost is ₹112 2 1 , which is 2 225 rupees.
The price per kilogram is the total cost divided by the total weight:
Price per kilogram = Total weight Total cost = 4 9 2 225
To divide the fractions, multiply by the reciprocal:
Price per kilogram = 2 225 × 9 4 = 2 × 9 225 × 4 = 18 900 = 50
The price of 1 kilogram of sugar is ₹50.
